
Pythagorean Theorem Problems
When people hear "Pythagorean Theorem" they usually think of the formula a^{2} + b^{2} = c^{2}. But this is not always true. It is only true when you are talking about a right triangle and when c represents the length of the longest side (the length of the hypotenuse) and a and b represent the lengths of the legs. If the length of the longest side (the hypotenuse) is represented by a then you have to trade places with a and c in the formula. If the longest side the (hypotenuse) is represented by b then you have to trade places with b and c in the formula.
The best way to think of the Pythagorean Theorem is this:
(length of one leg)^{2} + (length of other leg)^{2} = (length of hypotenuse)^{2}
Problem # 1